Felix Klein Siminar: Paolo Piccione - University of Notre Dame and Sao Paolo


Location: 258 Hurley Hall

Title: Morse theory, orthogonal geodesics and periodic solutions of conservative dynamical systems 

Absract:  I will discuss a problem of multiplicity for geodesics starting and arriving orthogonally to the boundary of a Riemannian ball using Morse theory. This gives an analogous multiplicity result for a class of periodic solutions (brake orbits) in a potential well of a Lagrangian system.